Question

Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

Answer 1

-2y=-3x+5
$y=\frac{3}{2}x + \frac{5}2$
$y=\frac{-2}{3}x + b$
$1=\frac{-2}{3}(-2) + b$
$1=\frac{4}{3} + b$
$\frac{1}{3} = b$
$y=\frac{-2}{3}x + \frac{1}{3}$